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Finding the Fourth Proportional to 501.59, 752.59 and 318.74

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Solution

The fourth proportional to 501.59, 752.59 and 318.74 is: 478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.59 : 752.59 = 318.74 : x
  2. Step 2: Convert to fraction form
    501.59/752.59 = 318.74/x
  3. Step 3: Cross multiply
    501.59x = 752.59 × 318.74
  4. Step 4: Simplify right side
    501.59x = 239,877.17
  5. Step 5: Solve for x
    x = 239,877.17/501.59
  6. Step 6: Final answer
    x = 478.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.